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**A Schur-Newton-Krylov solver for steady-state aeroelastic analysis and design sensitivity analysis.**
*(English)*
Zbl 1178.76309

Summary: This paper presents a Newton-Krylov approach applied to a Schur complement formulation for the analysis and design sensitivity analysis of systems undergoing fluid-structure interaction. This solution strategy is studied for a three-field formulation of an aeroelastic problem under steady-state conditions and applied to the design optimization of three-dimensional wing structures. A Schur-Krylov solver is introduced for computing the design sensitivities. Comparing the Schur-Newton-Krylov solver with conventional Gauss-Seidel schemes shows that the proposed approach significantly improves robustness and convergence rates, in particular for problems with strong fluid-structure coupling. In addition, the numerical efficiency of the aeroelastic sensitivity analysis can be typically improved by more than a factor of 1.5, especially if high accuracy is required.

### MSC:

76N25 | Flow control and optimization for compressible fluids and gas dynamics |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

65K10 | Numerical optimization and variational techniques |

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\textit{M. Barcelos} et al., Comput. Methods Appl. Mech. Eng. 195, No. 17--18, 2050--2069 (2006; Zbl 1178.76309)

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